Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440bp |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
-8.3169579765717E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2359503,-4604159502] |
[a1,a2,a3,a4,a6] |
Generators |
[4477:273070:1] |
Generators of the group modulo torsion |
j |
-288306249110583408/1650567347253125 |
j-invariant |
L |
4.71129264767 |
L(r)(E,1)/r! |
Ω |
0.054614747417868 |
Real period |
R |
3.5943379396575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118440h1 |
Quadratic twists by: -3 |